Stability on time-dependent domains
type: Item
instance of: scholarly article
title: Stability on time-dependent domains
zbMATH Open document ID: 1302.70057
author: D. Kharzeev
published in: Journal of Nonlinear Science
publication date: 2014-09-25T00:00:00Z
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 6347649
zbMATH Keywords: stability theory
zbMATH Keywords: Eckhaus instability
zbMATH Keywords: time-dependent domains
zbMATH Keywords: amplitude equations
zbMATH Keywords: drop splash
zbMATH Keywords: crown formation
zbMATH Keywords: pattern formation
zbMATH Keywords: coarsening
MaRDI profile type: Publication
full work available at URL: s00332-014-9197-6
OpenAlex ID: W2013240132
cites work: Finite-dimensional control of nonlinear parabolic PDE systems with time-dependent spatial domains using empirical eigenfunctions
cites work: Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
cites work: Q3030503
cites work: The Slow Passage through a Hopf Bifurcation: Delay, Memory Effects, and Resonance
cites work: Q4940095
cites work: The disintegration of wave trains on deep water Part 1. Theory
cites work: Dynamic bifurcations. Proceedings of a conference, held in Luminy, France, March 5-10, 1990
cites work: Control of the Wave Equation by Time-Dependent Coefficient
cites work: Parametric Resonance in Wave Equations with a Time-Periodic Potential
cites work: Q4001895
cites work: Reaction and diffusion on growing domains: scenarios for robust pattern formation
cites work: Steady-state mode interactions in the presence of 0(2)-symmetry
cites work: Stability and Instability of the Wave Equation Solutions in a Pulsating Domain
cites work: Quantum particle in a box with moving walls
cites work: Q3041596
cites work: Q5330852
cites work: Relaxation oscillations including a standard chase on French ducks
cites work: Linear stability analysis in fluid--structure interaction with transpiration. I: Formulation and mathematical analysis.
cites work: Q4943163
cites work: Q5606822
cites work: An Asymptotic Solution for the Wave Equation in a Time-Dependent Domain
cites work: Turing patterns on growing spheres: The exponential case
cites work: Exact results for the nonlinear diffusion equations delta u/ delta t= delta / delta x(u-4/3delta u/ delta x) and delta u/ delta t- delta / delta x(u-2/3delta u/ delta x)
cites work: Diffusion from a Fixed Surface with a Concentration-Dependent Coefficient
cites work: Characterization of Turing diffusion-driven instability on evolving domains
cites work: Global stability of time-dependent flows: impulsively heated or cooled fluid layers
cites work: Pattern Formation
cites work: Spatially localized structures in dissipative systems: open problems
cites work: Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics
cites work: On the Eckhaus instability for spatially periodic patterns
cites work: A linear stability theory on time-invariant and time-dependent spatial domains with symmetry: the drop splash problem
cites work: On global stabilization of Burgers' equation by boundary control.
cites work: Nonlinear Stabilization of Shock-Like Unstable Equilibria in the Viscous Burgers PDE
cites work: A mixed problem for hyperbolic equations with time-dependent domain
cites work: Universal description of laser dynamics near threshold
cites work: Q4154221
cites work: Q3999241
cites work: Q4345266
cites work: Depinning, front motion, and phase slips
cites work: Defect-mediated snaking: a new growth mechanism for localized structures
cites work: A moving grid finite element method applied to a model biological pattern generator
cites work: Stability analysis of non-autonomous reaction-diffusion systems: The effects of growing domains
cites work: Canards and bifurcation delays of spatially homogeneous and inhomogeneous types in reaction-diffusion equations
cites work: Existence and periodicity of weak solutions of the Navier-Stokes equations in a time dependent domain
cites work: Q3203361
cites work: Q3833310
cites work: On stability loss delay for dynamical bifurcations
cites work: Interactions between pattern formation and domain growth
cites work: DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT
cites work: Domain structures in fourth-order phase and Ginzburg-Landau equations
cites work: Q4952434
cites work: A mixed problem for the wave equation in a time dependent domain
cites work: On the stability of viscous fluid motions
cites work: Stability of Cosserat fluid motions
cites work: Concentration-dependent diffusion. II. Singular problems
cites work: On the stability of periodic solutions of the Navier-Stokes equations in a noncylindrical domain
cites work: The chemical basis of morphogenesis
cites work: A remark on parametric resonance for wave equations with a time periodic coefficient
cites work: A mathematical mechanism for instabilities in stripe formation on growing domains

Stability on time-dependent domains (cites work)
cites work: Two-dimensional Euler flows in slowly deforming domains

Stability on time-dependent domains (cites work)
cites work: Dynamic bifurcations and pattern formation in melting-boundary convection

Stability on time-dependent domains (cites work)
cites work: Q5489390

Stability on time-dependent domains (DOI)
DOI: 10.1007/S00332-014-9197-6